\(\dfrac{3}{2}\cdot\left|2x\right|=\dfrac{1}{4}\)
\(\left|2x\right|=\dfrac{\dfrac{1}{4}}{\dfrac{3}{2}}\)
\(\left|2x\right|=\dfrac{1}{4}\cdot\dfrac{2}{3}\)
\(\left|2x\right|=\dfrac{1}{6}\)
\(\Rightarrow2x=\dfrac{1}{6}\) hoặc \(2x=-\dfrac{1}{6}\)
Trường hợp 1:
\(2x=\dfrac{1}{6}\)
\(x=\dfrac{\dfrac{1}{6}}{2}\)
\(x=\dfrac{1}{6}\cdot\dfrac{1}{2}\)
\(x=\dfrac{1}{12}\)
Trường hợp 2:
\(2x=-\dfrac{1}{6}\)
\(x=\dfrac{-\dfrac{1}{6}}{2}\)
\(x=-\dfrac{1}{6}\cdot\dfrac{1}{2}\)
\(x=-\dfrac{1}{12}\)
Vậy \(x\in\left\{\dfrac{1}{12};-\dfrac{1}{12}\right\}\)
